Contiguity relations

Hirsutene (1) and A9(,2,-capnellcnc (2), the parent members of the hirsutane and capnellane families of triquinane natural products, respectively, are isomeric molecules that possess four contiguous stereogenic centers, one of which is quaternary. The linearly fused tricyclopentanoid frameworks of compounds 1 and 2 are obviously very similar, differing only with respect to the positions of the three methyl groups. An asset of Curran s tandem radical cyclization strategy is that it provides a unified entry into a wide variety of linear condensed cyclopentanoid natural products. As a result, it is possible to devise nearly identical retrosynthetic pathways for these structurally related molecules. 

Two closely related methods for the diastereoselective preparation of <5-oxo esters have been developed. The first method uses the chelated lithio enamine 2. These Michael donors are readily available from the tert-butyl ester of L-valine and jS-oxo esters. The Michael addition of this lithio enamine 2 to 2-(arylmethylene)propanedioates, followed by hydrolytic removal of the auxiliary, provides d-oxo esters with contiguous quaternary and tertiary carbon centers with high diastereoselectivity59 60. 

Oxo esters are accessible via the diastereoselective 1,4-addition of chiral lithium enamine 11 as Michael donor. The terr-butyl ester of L-valine reacts with a / -oxo ester to form a chiral enamine which on deprotonation with lithium diisopropylamide results in the highly chelated enolate 11. Subsequent 1,4-addition to 2-(arylmethylene) or 2-alkylidene-l,3-propanedioates at — 78 °C, followed by removal of the auxiliary by hydrolysis and decarboxylation of the Michael adducts, affords optically active -substituted <5-oxo esters232 (for a related synthesis of 1,5-diesters, see Section 1.5.2.4.2.2.1.). In the same manner, <5-oxo esters with contiguous quaternary and tertiary carbon centers with virtually complete induced (> 99%) and excellent simple diastereoselectivities (d.r. 93 7 to 99.5 0.5) may be obtained 233 234. 

This section relates to the introduction of a double or triple bond between two contiguous carbon atoms of the backbone chain of a monosaccharide derivative. A double bond between a carbon atom of the backbone chain and an atom outside that chain, or a double or triple bond between two carbon atoms outside the backbone chain, will be treated according to the normal rules of organic nomenclature [13,14],... 

Tokoroyama T. Synthesis of Clerodane Diterpenoids and Related Compounds -Stereoselective Construction of the DecaUn Skeleton With Multiple Contiguous Stereogenic Centers Synthesis 2000 611-633... 

The epidemiology of osteomyelitis has been changing over the past several decades.6 The incidence of acute hematogenous osteomyelitis, which is most often seen in children, has been declining.6,7 In contrast, the frequency of contiguous osteomyelitis has been increasing. This trend may be related to... 

To obtain the mass emissions of pollutants from e-waste recycling processes, it is essential that the inputs of pollutants are truly e-waste related. To fulfill this requirement, a causal analysis is desirable. However, the concept of causation is rather problematic because causal mechanisms are complex [26]. Nonetheless, we are compelled to identify causes, in an attempt to minimize the uncertainties associated with our estimates. In this chapter, the strict empiricist, David Hume s empirical criterion, was adopted. This approach requires only a combination of (1) e-waste processing and environmental pollution are associated in space and time (contiguity) (2) e-waste processing precede to environmental pollution (temporal succession) and (3) e-waste processing is always conjoined with environmental pollution (consistent conjunction). These are always the cases judged from a number of previous studies [6, 27-35]. 

Relations of Contiguity, Certain simple relations exist between bypergeometric functions whose parameters differ by + 1. For example if the parameters a and ft remain fixed and y is varied we can prove that... 

In recent years Pagani and coworkers have made detailed studies of the problem. In the space available we can only outline their work and interested readers should consult the very detailed papers. The authors have developed special scales of substituent constants for dealing with contiguous functionalities 193. These new substituent constants are a (which seems to be related fairly closely to the ordinary a ), aIB (which bears some relationship to o/, but not that close), and (Tr-, a special delocalization parameter. It is claimed194 that these scales are appropriate for describing interactions between contiguous functionalities, as opposed to literature values which account for remote interactions . Various C—H acidities in gas phase and in solution were successfully correlated by means of multiple regressions on am and chemical shifts for the central carbon in the carbanions. 

Figure 10. Kleitz s reaction pathway model for solid-state gas-diffusion electrodes. Traditionally, losses in reversible work at an electrochemical interface can be described as a series of contiguous drops in electrical state along a current pathway, for example. A—E—B. However, if charge transfer at point E is limited by the availability of a neutral electroactive intermediate (in this case ad (b) sorbed oxygen at the interface), a thermodynamic (Nernstian) step in electrical state [d/j) develops, related to the displacement in concentration of that intermediate from equilibrium. In this way it is possible for irreversibilities along a current-independent pathway (in this case formation and transport of electroactive oxygen) to manifest themselves as electrical resistance. This type of chemical valve , as Kleitz calls it, may also involve a significant reservoir of intermediates that appears as a capacitance in transient measurements such as impedance. Portions of this image are adapted from ref 46. (Adapted with permission from ref 46. Copyright 1993 Rise National Laboratory, Denmark.)...

For the generation of several contiguous chiral centers, two alternative key step reactions can be applied (i) stereoselective CC-bond formation and (ii) stereoselective functionalization of compounds having already the required carbon skeleton. In the de novo-synthesis of carbohydrates and related natural products via inverse-type hetero-Diels-Alder reactions both of these principles are especially well documented as will be shown below (8-10). ... 

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